Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Particular integral of sin(ax+b)

  1. Oct 24, 2012 #1
    I can prove that the particular integral of sin(ax+b) is given by

    [itex]\frac{1}{f(-a^{2})} sin(ax+b)[/itex]

    That's not an issue but what happens if f(-a2) is 0 ?

    I see that it is given by

    [itex] x \frac{1}{f'(-a^{2})} sin(ax+b)[/itex]

    but I can't prove this though I know to prove this for eax

    Thanks a lot :)
  2. jcsd
  3. Oct 24, 2012 #2


    User Avatar
    Science Advisor

    I don't understand what you are saying. The general anti-derivative of sin(ax+ b) is -(1/a) cos(ax+ b)+ C for any constant C. Yes, you can take C= 0 but where did "f" come from?
  4. Oct 24, 2012 #3

    and I mean the differential equation is given by

    or \\f(D)y=X


    Thanks a lot :)
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook